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40620060400 = 2452591978737
BaseRepresentation
bin100101110101001001…
…001110111011110000
310212211212210212110111
4211311021032323300
51131142213413100
630354404511104
72635413550033
oct456511167360
9125755725414
1040620060400
1116254a68657
127a576ab494
133aa4682bca
141d74a9701a
1510cb1686ba
hex97524eef0

40620060400 has 120 divisors (see below), whose sum is σ = 99758949840. Its totient is φ = 15889735680.

The previous prime is 40620060307. The next prime is 40620060443. The reversal of 40620060400 is 406002604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4644832 + ... + 4653568.

It is an arithmetic number, because the mean of its divisors is an integer number (831324582).

Almost surely, 240620060400 is an apocalyptic number.

40620060400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40620060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49879474920).

40620060400 is an abundant number, since it is smaller than the sum of its proper divisors (59138889440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40620060400 is a wasteful number, since it uses less digits than its factorization.

40620060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 40620060400 in words is "forty billion, six hundred twenty million, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 197 200 236 295 394 400 472 590 788 944 985 1180 1475 1576 1970 2360 2950 3152 3940 4720 4925 5900 7880 8737 9850 11623 11800 15760 17474 19700 23246 23600 34948 39400 43685 46492 58115 69896 78800 87370 92984 116230 139792 174740 185968 218425 232460 290575 349480 436850 464920 515483 581150 698960 873700 929840 1030966 1162300 1721189 1747400 2061932 2324600 2577415 3442378 3494800 4123864 4649200 5154830 6884756 8247728 8605945 10309660 12887075 13769512 17211890 20619320 25774150 27539024 34423780 41238640 43029725 51548300 68847560 86059450 101550151 103096600 137695120 172118900 203100302 206193200 344237800 406200604 507750755 688475600 812401208 1015501510 1624802416 2031003020 2538753775 4062006040 5077507550 8124012080 10155015100 20310030200 40620060400